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Interacting Vortices in a Disk

This demonstrates trajectories of three interacting vortices confined within a circle. Vortices are an interesting mechanical system. As opposed to masses or solid bodies, their evolution is described by first-order differential equations in time. Using mirror vortices, it is possible to restrict the motion of the vortices within a disk. G.-C. Yuan, K. Nam., T. M. Antonsen, E. Ott, P. N. Guzdar. Chaos 10, 39 (2000).

maximal time — maximal evolution time
initial position vortex — the initial position of the th vortex
strength vortex — the interaction strength of the th vortex
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